Ratios, Rates, and Percents

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two quantities with different units, such as speed (miles per hour) or price per item.

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part per hundred.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100.

Front

What is the formula to find a percentage of a number?

Back

The formula is: Percentage = (Part/Whole) x 100.

Front

If a recipe calls for a ratio of 2:3 of flour to sugar, how much sugar is needed for 4 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = 4/x. Cross-multiply to find x, which equals 6 cups of sugar.

Front

How do you find the unit price?

Back

To find the unit price, divide the total price by the number of units.

Front

What is the unit price if 6 pens cost $2.34?

Back

The unit price is $0.39 per pen, calculated as $2.34 ÷ 6.

Front

How many ounces are in 11 pounds?

Back

There are 176 ounces in 11 pounds, calculated as 11 x 16.